I would go with D. Hope that helps :)
Team A: 15 points
Team B: 3 points
Team A has twelve more points than Team B:
A = B + 12
Team A has five times as many points as Team B:
A = B × 5
A = 5B
substitute "A" with "B + 12" to solve for B:
A = 5B
(B + 12) = 5B
B + 12 = 5B
12 = 5B - B
12 = 4B
3 = B
Team B has 3 points
now substitute "B" with 3 to solve for A:
A = 5B
A = 5(3)
A = 15
Team A has 15 points
Check your answer by inputting both values into either equation:
A = 5B
(15) = 5(3)
15 = 15 ✔
A = B + 12
(15) = (3) + 12
15 = 15 ✔
Answer: No
Step-by-step explanation:
The distance hiked of Mark is represented by 2*t + 100
and the distance hiked of Zoe is represented by 2*t
here, you can see that the slope of both equations is equal, this means that in the same lapse of time, Zoe and Mark displace the same amount, but because Mark started earlier, he has a y-intercept bigger than zero, so for every value of t, the distance that Mark hiked will be higher than the one of Zoe.
We can represent this by:
2*t + 100 > 2*t
100 > 0
So the distance hiked by Mark is always bigger than the one of Zoe
